6/(x-4)=8/(x-2)

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Solution for 6/(x-4)=8/(x-2) equation: 


D( x )

x-2 = 0

x-4 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:2) U (2:4) U (4:+oo)

6/(x-4) = 8/(x-2) // - 8/(x-2)

6/(x-4)-(8/(x-2)) = 0

6/(x-4)-8*(x-2)^-1 = 0

6/(x-4)-8/(x-2) = 0

(6*(x-2))/((x-4)*(x-2))+(-8*(x-4))/((x-4)*(x-2)) = 0

6*(x-2)-8*(x-4) = 0

20-2*x = 0

(20-2*x)/((x-4)*(x-2)) = 0

(20-2*x)/((x-4)*(x-2)) = 0 // * (x-4)*(x-2)

20-2*x = 0

20-2*x = 0 // - 20

-2*x = -20 // : -2

x = -20/(-2)

x = 10

x = 10

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